Train a and train b leave a central station at the same time. they travel the same speed, but in opposite directions, with train a heading towards station a, and train b heading towards station b. train a reaches station a after 212212 h. train b reaches station b after 4 h. station a and b are 585 mi apart.

what is the rate of the trains?

90 mph

Step-by-step explanation:

Let speed of  both train=x mph

Time taken by train A to reach station A= hr=\frac{5]{2} h[/tex]

Time taken by train B to reach station B=4 h

Distance between two trains=585 miles

We know that

Distance=

Distance covered by train A=

Distance covered by train B=

When two trains travel in opposite direction then total distance

Hence, the rate of both trains=90 mph

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

13cm

step-by-step explanation:

(apex)